Blow-up for a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions

• Autorzy: Youpeng Chen , Baozhu Zheng
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the blow-up properties of positive solutions to a localized singular parabolic equation with weighted nonlocal nonlinear boundary conditions. Under certain conditions, criteria of global existence and finite time blow-up are established. Furthermore, when q=1, the global blow-up behavior and the uniform blow-up profile of the blow-up solution are described; we find that the blow-up set is the whole domain [0,a], including the boundary, in contrast to the case of parabolic equations with local sources or with homogeneous Dirichlet boundary conditions.

Kategorie tematyczne

• 35K57: Reaction-diffusion equations
• 35K61: Nonlinear initial-boundary value problems for nonlinear parabolic equations
• 35B40: Asymptotic behavior of solutions
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 2
• Strony: 179-196

Daty

wydano

2015

Twórcy

autor

Youpeng Chen

• School of Mathematics, Yancheng Normal University, Yancheng 224002, P.R. China

autor

Baozhu Zheng

• Department of Mathematics, Qinghai Normal University, Xining 810008, P.R. China

Identyfikatory

DOI

10.4064/ap114-2-7